Local well-posedness and blow-up criterion for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics

被引：3

作者：

He, Fangyi ^{[1
]}

Fan, Jishan ^{[2
]}

Zhou, Yong ^{[3
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Finance, Chengdu 611130, Sichuan, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[3] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 09期

基金：

中国国家自然科学基金;

关键词：

blow-up criterion; radiation hydrodynamics; vacuum; well-posedness; 35Q30; 35Q35; 35B25; NAVIER-STOKES EQUATIONS; MACH NUMBER LIMIT; INCOMPRESSIBLE LIMIT;

D O I：

10.1002/zamm.201700142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the local well-posedness and a blow-up criterion of strong solutions for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of :=T3. In this paper we prove the local well-posedness and a blow-up criterion of strong solutions for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of :=T3.

引用

页码：1632 / 1641

页数：10

共 45 条

[21] A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
YongZhong Sun
ZhiFei Zhang
Science China Mathematics, 2011, 54 : 105 - 116
[22] A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
Sun YongZhong
Zhang ZhiFei
SCIENCE CHINA-MATHEMATICS, 2011, 54 (01) : 105 - 116
[23] Global well-posedness of the 1d compressible Navier-Stokes system with rough data
Chen, Ke
Ha, Ly Kim
Hu, Ruilin
Nguyen, Hung
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 179 : 425 - 453
[24] A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
SUN YongZhong1 & ZHANG ZhiFei2
2School of Mathematical Sciences
Science China(Mathematics), 2011, 54 (01) : 105 - 116
[25] Uniform Regularity for an Isentropic Compressible MHD-P1 Approximate Model Arising in Radiation Hydrodynamics
Tang, Tong
Sun, Jianzhu
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (03) : 881 - 890
[26] LOCAL WELL-POSEDNESS AND BLOW-UP OF SOLUTIONS FOR WAVE EQUATIONS ON SHALLOW WATER WITH PERIODIC DEPTH
Fan, Lili
Gao, Hongjun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[27] THE BLOW-UP CRITERION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM WITH A YUKAWA-POTENTIAL IN THE CRITICAL BESOV SPACE
Chikami, Noboru
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2014, 27 (9-10) : 801 - 820
[28] Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation with cubic nonlinearity
Li, Min
Yin, Zhaoyang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 151 : 208 - 226
[29] Blow-up criterion for the 3D compressible non-isentropic Navier-Stokes equations without thermal conductivity
Li, Yachun
Xu, Junru
Zhu, Shengguo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (02) : 822 - 840
[30] A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY
Kong, Huihui
Li, Hai-Liang
Zhang, Xingwei
ACTA MATHEMATICA SCIENTIA, 2016, 36 (04) : 1153 - 1166

← 1 2 3 4 5 →